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Finding the Fourth Proportional to 4,832.64, 7,241.28 and 3,589.76

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Solution

The fourth proportional to 4,832.64, 7,241.28 and 3,589.76 is: 5,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.64 : 7,241.28 = 3,589.76 : x
  2. Step 2: Convert to fraction form
    4,832.64/7,241.28 = 3,589.76/x
  3. Step 3: Cross multiply
    4,832.64x = 7,241.28 × 3,589.76
  4. Step 4: Simplify right side
    4,832.64x = 25,994,457.29
  5. Step 5: Solve for x
    x = 25,994,457.29/4,832.64
  6. Step 6: Final answer
    x = 5,378.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.